Finite simple groups with short Galois orbits on conjugacy classes

Victor Bovdi; Thomas Breuer; Attila Maróti

doi:10.1016/j.jalgebra.2019.10.024

Finite simple groups with short Galois orbits on conjugacy classes

Victor Bovdi, Thomas Breuer, Attila Maróti

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

All finite simple groups are determined with the property that every Galois orbit on conjugacy classes has size at most 4. From this we list all finite simple groups G for which the normalized group of central units of the integral group ring ZG is an infinite cyclic group.

Original language	English
Pages (from-to)	151-169
Number of pages	19
Journal	Journal of Algebra
Volume	544
DOIs	https://doi.org/10.1016/j.jalgebra.2019.10.024
Publication status	Published - Feb 15 2020

Keywords

Finite simple group
Integral group ring

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2019.10.024

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title = "Finite simple groups with short Galois orbits on conjugacy classes",

abstract = "All finite simple groups are determined with the property that every Galois orbit on conjugacy classes has size at most 4. From this we list all finite simple groups G for which the normalized group of central units of the integral group ring ZG is an infinite cyclic group.",

keywords = "Finite simple group, Integral group ring",

author = "Victor Bovdi and Thomas Breuer and Attila Mar{\'o}ti",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2020",

month = feb,

day = "15",

doi = "10.1016/j.jalgebra.2019.10.024",

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journal = "Journal of Algebra",

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AU - Bovdi, Victor

AU - Breuer, Thomas

AU - Maróti, Attila

PY - 2020/2/15

Y1 - 2020/2/15

N2 - All finite simple groups are determined with the property that every Galois orbit on conjugacy classes has size at most 4. From this we list all finite simple groups G for which the normalized group of central units of the integral group ring ZG is an infinite cyclic group.

AB - All finite simple groups are determined with the property that every Galois orbit on conjugacy classes has size at most 4. From this we list all finite simple groups G for which the normalized group of central units of the integral group ring ZG is an infinite cyclic group.

KW - Finite simple group

KW - Integral group ring

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VL - 544

SP - 151

EP - 169

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Finite simple groups with short Galois orbits on conjugacy classes

Abstract

Keywords

ASJC Scopus subject areas

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